After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

Kevin, since the problem states a number (x) minus 20, and given that 20 is mentioned later, it indicates that it is the second number involved here.

James will retain his original t toy cars along with half of (t+13) cars, resulting in a total of...

... t + (t + 13/2) = (3t + 13)/2.... cars after receiving a gift from Paul.

Response:

j = 21 and n = 14

Step-by-step breakdown:

We start with the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

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Answer:

The expression representing the sum of three times a number and six, over the difference of seven times that number and nine

Step-by-step explanation:

we have

Let

p  -----> the variable

we understand that

In the numerator we have (3p+6)

The statement that corresponds to this algebraic representation is "The sum of three times a number plus six"

The denominator is (7p-9)

The statement that corresponds to this algebraic representation is "The difference of seven times the number and nine"

therefore

The statement that represents this problem is "The sum of three times a number and six, divided by the difference of seven times the number and nine"

Response: Therefore, the fraction of times heads appeared out of the entire tosses is 0.583

Detailed explanation:

Considering the following:

Total number of tosses for the coin = 60

Total occurrences of heads = 35

Calculated proportion of heads landed:

Total occurrences of heads / total number of coin tosses

Calculated head landing proportion:

= 35 / 60 = 7 / 12 = 0.5833